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dependently typed languages

Dependent types are advanced programming language features that allow types to depend on values. This means you can create more precise types that can express complex properties of data. For example, you can define a list type that ensures it knows the exact length of the list. This helps catch errors at compile time rather than runtime, making programs safer and more reliable. Languages like Idris and Agda use dependent types to enhance both the expressiveness and correctness of code, enabling programmers to create more robust software that adheres closely to its intended behavior.